829940 has 24 divisors (see below), whose sum is σ = 1846152. Its totient is φ = 312320.

The previous prime is 829883. The next prime is 829949. The reversal of 829940 is 49928.

829940 = T₁₂₁ + T₁₂₂ + ... + T₁₈₈.

It can be written as a sum of positive squares in 4 ways, for example, as 44944 + 784996 = 212^2 + 886^2 .

It is a junction number, because it is equal to n+sod(n) for n = 829897 and 829906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829949) by changing a digit.

829940 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 881 + ... + 1560.

It is an arithmetic number, because the mean of its divisors is an integer number (76923).

2⁸²⁹⁹⁴⁰ is an apocalyptic number.

It is an amenable number.

829940 is an abundant number, since it is smaller than the sum of its proper divisors (1016212).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

829940 is a wasteful number, since it uses less digits than its factorization.

829940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 829940 is about 911.0104280413. The cubic root of 829940 is about 93.9756991657.

The spelling of 829940 in words is "eight hundred twenty-nine thousand, nine hundred forty".